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Finding the Fourth Proportional to 6,998.27, 9,653.18 and 4,163.67

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Solution

The fourth proportional to 6,998.27, 9,653.18 and 4,163.67 is: 5,743.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.27 : 9,653.18 = 4,163.67 : x
  2. Step 2: Convert to fraction form
    6,998.27/9,653.18 = 4,163.67/x
  3. Step 3: Cross multiply
    6,998.27x = 9,653.18 × 4,163.67
  4. Step 4: Simplify right side
    6,998.27x = 40,192,635.15
  5. Step 5: Solve for x
    x = 40,192,635.15/6,998.27
  6. Step 6: Final answer
    x = 5,743.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.